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Finding the Fourth Proportional to 4,972.24, 7,459.08 and 1,509.76

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Solution

The fourth proportional to 4,972.24, 7,459.08 and 1,509.76 is: 2,264.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,972.24 : 7,459.08 = 1,509.76 : x
  2. Step 2: Convert to fraction form
    4,972.24/7,459.08 = 1,509.76/x
  3. Step 3: Cross multiply
    4,972.24x = 7,459.08 × 1,509.76
  4. Step 4: Simplify right side
    4,972.24x = 11,261,420.62
  5. Step 5: Solve for x
    x = 11,261,420.62/4,972.24
  6. Step 6: Final answer
    x = 2,264.86

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.